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2006 | 26 | 1 | 149-159
Tytuł artykułu

Optimal edge ranking of complete bipartite graphs in polynomial time

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An edge ranking of a graph is a labeling of edges using positive integers such that all paths connecting two edges with the same label visit an intermediate edge with a higher label. An edge ranking of a graph is optimal if the number of labels used is minimum among all edge rankings. As the problem of finding optimal edge rankings for general graphs is NP-hard [12], it is interesting to concentrate on special classes of graphs and find optimal edge rankings for them efficiently. Apart from trees and complete graphs, little has been known about special classes of graphs for which the problem can be solved in polynomial time. In this paper, we present a polynomial-time algorithm to find an optimal edge ranking for a complete bipartite graph by using the dynamic programming strategy.
Wydawca
Rocznik
Tom
26
Numer
1
Strony
149-159
Opis fizyczny
Daty
wydano
2006
otrzymano
2005-06-17
poprawiono
2005-10-20
Twórcy
autor
  • Department of Information Management, Nan-Kai Institute of Technology, Tsao-Tun, Nantou 542, Taiwan
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1309
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